CAJ | 학술논문

讨论了一类求解一维热传导方程区域分解的简易算法.首先采用4阶精度显格式计算子区域间的内界点值,然后采用θ-scheme在各子区域并行地求出内点值.利用最大值原理得到了误差估计式,并通过具体算例给出了非区域分解情形和区域分解情形下的误差.结果表明,所得数值算法简单方便,适用于精度要求不高的并行计算.
토론료일류구해일유열전도방정구역분해적간역산법.수선채용4계정도현격식계산자구역간적내계점치,연후채용θ-scheme재각자구역병행지구출내점치.이용최대치원리득도료오차고계식,병통과구체산례급출료비구역분해정형화구역분해정형하적오차.결과표명,소득수치산법간단방편,괄용우정도요구불고적병행계산.
A simple finite difference domain decomposition method is proposed. An explicit method is used for solving interface values between subdomains, and then the inner values of subdomains can be solved in parallel using θ-scheme. Error estimates is derived by maximum principle and errors of domain decomposition case and non domain decomposition case are shown, respectively. The result shows that the obtained numerical method is appropriate for the case of parallel computing, rapid development and of low accuracy requirements.